C₂²×C₇×C₃₁×C₁₃⋊C₃ #46799619

order	33852
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₇×C₃₁ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₇×C₃₁×C₁₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₇×C₃₁	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₂²×C₃×C₇×C₃₁
Frattini	C₁	G
Fitting, socle	C₂²×C₇×C₁₃×C₃₁	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₂²×C₇×C₃₁

80 conjugacy classes of subgroups.

μ_t(G) = 11284

6076 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33852, 414);